102003220000 has 240 divisors, whose sum is σ = 277268745600. Its totient is φ = 36616320000.

The previous prime is 102003219979. The next prime is 102003220003. The reversal of 102003220000 is 22300201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102003220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17377066 + ... + 17382934.

It is an arithmetic number, because the mean of its divisors is an integer number (1155286440).

Almost surely, 2^102003220000 is an apocalyptic number.

102003220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138634372800).

102003220000 is an abundant number, since it is smaller than the sum of its proper divisors (175265525600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102003220000 is an equidigital number, since it uses as much as digits as its factorization.

102003220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5989 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 102003220000 its reverse (22300201), we get a palindrome (102025520201).

It can be divided in two parts, 102003 and 220000, that added together give a triangular number (322003 = T₈₀₂).

The spelling of 102003220000 in words is "one hundred two billion, three million, two hundred twenty thousand".